Baseball's All-Time Best Hitters: How Statistics Can Level the Playing Field

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Tony Gwynn is the greatest hitter in the history of baseball. That's the conclusion of this engaging and provocative analysis of baseball's all-time best hitters. Michael Schell challenges the traditional list of all-time hitters, which places Ty Cobb first, Gwynn 16th, and includes just 8 players whose prime came after 1960. Schell argues that the raw batting averages used as the list's basis should be adjusted to take into account that hitters played in different eras, with different rules, and in different ballparks. He makes those adjustments and produces a new list of the best 100 hitters that will spark debate among baseball fans and statisticians everywhere.

Schell combines the two qualifications essential for a book like this. He is a professional statistician—applying his skills to cancer research—and he has an encyclopedic knowledge of baseball. He has wondered how to rank hitters since he was a boy growing up as a passionate Cincinnati Reds fan. Over the years, he has analyzed the most important factors, including the relative difficulty of hitting in different ballparks, the length of hitters' careers, the talent pool that players are drawn from, and changes in the game that raised or lowered major-league batting averages (the introduction of the designated hitter and changes in the height and location of the pitcher's mound, for example). Schell's study finally levels the playing field, giving new credit to hitters who played in adverse conditions and downgrading others who faced fewer obstacles. His final ranking of players differs dramatically from the traditional list. Gwynn, for example, bumps Cobb to 2nd place, Rod Carew rises from 28th to 3rd, Babe Ruth drops from 9th to 16th, and Willie Mays comes from off the list to rank 13th. Schell's list also gives relatively more credit to modern players, containing 39 whose best days were after 1960.

Using a fun, conversational style, the book presents a feast of stories and statistics about players, ballparks, and teams—all arranged so that calculations can be skipped by general readers but consulted by statisticians eager to follow Schell's methods or introduce their students to such basic concepts as mean, histogram, standard deviation, p-value, and regression. Baseball's All-Time Best Hitters will shake up how baseball fans view the greatest heroes of America's national pastime.

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Editorial Reviews

New York Times
[A] trenchant attempt to reorder the hierarchy. . . . [Schell's] calculations produce a new all-time greatest hitter, revealed in sometimes breathless prose.
— Joseph Kahn
Mathematical Association of America Online Book Review
[Schell] has provided a wealth of baseball trivia and statistics. The style of writing is engaging and often lively and, in fact, encourages continued debate over the data and conclusions presented. The text will undoubtedly become a part of the baseball statistics fan's library.
— Randall J. Swift
Buried deep within every true baseball fan is a nerd with a scorecard and a calculator. . . . To refute those who say players from different eras can't be compared because they played in different circumstances, Schell levels the playing field by building models to account for those varying circumstances: ballparks, pitching quality, night games, etc. . . . His conclusions are often surprising but well substantiated.
The Los Angeles Times
Altogether, a good read. . . .
— Earl Gutskey
New York Times - Joseph Kahn
[A] trenchant attempt to reorder the hierarchy. . . . [Schell's] calculations produce a new all-time greatest hitter, revealed in sometimes breathless prose.
Mathematical Association of America Online Book Review - Randall J. Swift
[Schell] has provided a wealth of baseball trivia and statistics. The style of writing is engaging and often lively and, in fact, encourages continued debate over the data and conclusions presented. The text will undoubtedly become a part of the baseball statistics fan's library.
The Los Angeles Times - Earl Gutskey
Altogether, a good read. . . .
From the Publisher
"[A] trenchant attempt to reorder the hierarchy. . . . [Schell's] calculations produce a new all-time greatest hitter, revealed in sometimes breathless prose."—Joseph Kahn, New York Times

"[Schell] has provided a wealth of baseball trivia and statistics. The style of writing is engaging and often lively and, in fact, encourages continued debate over the data and conclusions presented. The text will undoubtedly become a part of the baseball statistics fan's library."—Randall J. Swift, Mathematical Association of America Online Book Review

"Buried deep within every true baseball fan is a nerd with a scorecard and a calculator. . . . To refute those who say players from different eras can't be compared because they played in different circumstances, Schell levels the playing field by building models to account for those varying circumstances: ballparks, pitching quality, night games, etc. . . . His conclusions are often surprising but well substantiated."Booklist

"[Schell] ranks current player Tony Gwynn as the best all-time hitter, well ahead of the modern batting king, Ted Williams, and no doubt outraging the ghosts of Ty Cobb and Babe Ruth. . . . All in all, this book is for the hardcore baseball fan. . . ."Library Journal

"Altogether, a good read. . . ."—Earl Gutskey, The Los Angeles Times

Joseph Kahn
Michael J. Schell, a biostatistician at the University of North Carolina and a lifelong baseball fan, has tried to rewrite history. He argues that raw batting averages are meaningful only to compare hitters playing in the same park at the same time with the same competition, not to rank superstars in the Hall of Fame. Mr. Schell's new book is a trenchant attempt to reorder the hierarchy using methods like those he applies to cancer research. He submitted batting averages of history's top baseball players to a gantlet of tests. He makes adjustments for the changing baseball talent pool, in part because blacks and other minorities were once excluded from the major leagues. He also tries to eliminate the distorting effects of quirky ball parks, end-of-career slumps and rule changes. The resulting list rocks conventional wisdom. It also takes the numerology among baseball fans to a new level of obsessiveness.
New York Times
Earl Gustsky
Schell, a biostatistics professor at the University of North Carolina, is also a lifelong baseball buff who applies statistical methods to "level the playing field" between the baseball eras to arrive at a ranked list of the game's 100 greatest hitters. And the winner is . . . Tony Gwynn. Factoring in elements such as turn-of-the-century ballparks, rule changes, hitter-friendly ballparks, hitter-unfriendly eras, on-base percentage, and an added, fascinating factor--base-on-balls percentage. Gwynn, Schell's number-crunching shows, emerges with an "adjusted" career average of .342, with Ty Cobb next at .340 and Rod Carew third at .332.
Los Angeles Times
Library Journal
Schell (biostatistics, Univ. of North Carolina), a professional statistician, here turns his attention from his field of health science to a lighter but more contentious subject, baseball. The rating of players has been an unending argument among diehard fans and specialists, such as those dedicated aficionados of the Society for American Baseball Research, which has given statistical debate more credibility. Now this book from Princeton University Press is a signal that the academics have entered the fray, too. Schell's book, however, makes some strange claims. He ranks current player Tony Gwynn as the best all-time hitter, well ahead of the modern batting king, Ted Williams, and no doubt outraging the ghosts of Ty Cobb and Babe Ruth. Schell's statistics "level" the playing field because they downplay the importance of power, thus favoring Gwynn. Schell is on more solid ground when he proposes players who should be included in the Hall of Fame. All in all, this book is for the hardcore baseball fan, especially one comfortable with complex statistical analysis. For comprehensive baseball collections.--Paul M. Kaplan, Lake Villa Dist. Lib., IL
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Product Details

  • ISBN-13: 9780691123431
  • Publisher: Princeton University Press
  • Publication date: 3/7/2005
  • Pages: 328
  • Sales rank: 574,417
  • Product dimensions: 5.36 (w) x 8.24 (h) x 0.78 (d)

Meet the Author

Michael Schell is Professor of Biostatistics at the University of North Carolina and Director of the Biostatistics Core Facility at the Lineberger Comprehensive Cancer Center. He is the author of "Baseball's All-Time Best Sluggers: Adjusted Batting Performance from Strikeouts to Home Runs" (Princeton) and has published more than 100 research articles on statistics and cancer.
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Read an Excerpt

Baseball's All-Time Best Hitters

How Statistics Can Level the Playing Field
By Michael J. Schell

Princeton University Press

Copyright © 1999 Princeton University Press
All right reserved.

ISBN: 978-0-691-12343-1



Never did I expect that writing this book would lead me into the San Diego Padres dugout. On July 28, 1997, however, two hours before that evening's game against the Philadelphia Phillies, there I was! Tony Gwynn had just returned his Louisville Slugger to the bat rack after batting practice.

"Tony!-I'm Michael Schell," I called out. Tony Gwynn, the 7-time batting champion from the San Diego Padres, turned toward me and replied, "Soooo-you're the guy!"

A month earlier I had sent a press release to the media relations people at the Padres saying that Gwynn was on the verge of clinching his standing as the best pure hitter in baseball history. A week earlier I had sent him a congratulatory note after he got the clinching hit. Two days before, sportswriter Wayne Lockwood presented my findings in the San Diego Union-Tribune.

"I'll talk with you in a minute," Gwynn added as he headed to chat with some early-bird fans that he knew.

I waited expectantly and a little nervously. Shaun O'Neill, a sports reporter for the North County Times told me that Gwynn was a very unassuming ballplayer who would downplay what I was going to say but wouldlisten intently.

"You're putting pressure on me!" Gwynn moaned jokingly as he approached.

He was hitting .391 and the media had been hounding him for weeks about the possibility of becoming the first player in 56 years to hit .400 for the season. That week, in fact, Gwynn was on the cover of both Sports Illustrated and The Sporting News.

"You've got no pressure from me," I countered, "you've already done it!"

He sat down beside me and said, "Show me what you found." That's what I plan to do in this book-show the reader what I've found by developing a method to compare players across baseball history, from the first pitch in 1876 to the present day.

The Tyranny of Traditional Top Hitters Lists

Most baseball encyclopedias and many almanacs have lists of top lifetime hitters or single season batting champions. Young fans memorize the names-Ty Cobb, Rogers Hornsby, Ted Williams, Babe Ruth-and often their lifetime batting averages as well (.366, .358, .344, .342, respectively). These players have become mythological heroes of the game.

There is some sadness, though, among fans today since our favorite active players-Tony Gwynn, Mike Piazza, Ken Griffey Jr. are-hopelessly out of the top positions. Gwynn would rank 16th, Piazza 21st and Griffey fails to make the top 100. Moreover, Hall of Famers Hank Aaron and Willie Mays and all-time hits leader Pete Rose are off the list, while a host of relatively unknown players like Bibb Falk, Cecil Travis, Rip Radcliff, and Elmer Smith are on it. How can this be?

Knowing how extraordinary these current and recent players are, we become mystified by those on the list. How did they do it? Why were they so much better? The punch line, which is the subject of this book, is that they are not so much better. We fans have been misled by the averages. It is the unfortunate fact of life that fair appraisals of anything rarely come without effort.

Grandparents may tell you about how they bought a house for $15,000. Did they also tell you, however, that they only earned $6,000 per year then, too? Simply defined statistics, like batting average (which equals hits divided by at bats), may be fine to make comparisons between ballplayers playing in the same year in the same ballparks against the same pitchers. But why should these averages be used at all to compare a player who played at night in a domed stadium with astroturf with another player who played only day games in the open air on natural grass?

The question of who the greatest hitters are is a subject of considerable interest to baseball fans. It is a source of argument between father and son, between Dodger and Yankee fan, between the pure hitter fan and the slugger fan. The good news is that we can reasonably answer this question, when it is clearly posed. This is the legacy provided by baseball, which has a wealth of statistical data over a hundred-year period. The bad news is that the answer is not easily found in the baseball encyclopedias and almanacs. It is the aim of this book to identify the 100 greatest hitters, by applying four adjustments to the standard batting average.

"Best Hitter" Defined

What does the phrase "best hitter" mean? Hitting is composed of many things. For example, Tony Gwynn is excellent at getting hits but relatively few of his hits are home runs. On the other hand, Mark McGwire is only average in getting hits but they go a country mile when he does connect! So which one is the "better" hitter?

There are many different baseball statistics. Batting average and slugging average both combine singles, doubles, triples, home runs, and outs into single measures. Batting average is computed by totaling the different kinds of hits and dividing by the number of at bats, while slugging average totals the number of bases that you reach on the hits before being divided by the total number of at bats. However, both of them ignore factors like the walk average, number of RBIs and less well-measured things like hit-and-run or clutch hitting ability. There are other ballplayer abilities as well, such as run scoring, base stealing, and fielding. Bill James, with his Runs Created formulae, and John Thorn and Pete Palmer, with their Total Player Rating, have combined batting, fielding, and stealing data into a single rating. Both composite statistics are useful and interesting.

The statistics of Bill James and Thorn and Palmer seem to be searching for the best players. Statistics that combine various hitting events, which may include weighting of the values of singles, doubles, triples, and home runs (and possibly walks, strikeouts, or other batting events) are searching for the best batters. The search in this book is for the best hitters, that is, the players with the best chance to get a hit in a given at bat. Thus, we will use the preeminent baseball statistic, the batting average. However, we will adjust this average for each year in baseball history based on the ease with which hits could be attained and the player's home ballpark. This leads to batting averages that are relative to the league batting averages. Consequently, the talent pool of the league must also be considered. Also, at bats late in the careers of the longest playing stars will not be included, since batting ability clearly wanes then. Because these adjustments are needed to level the playing field, standard batting average lists do not properly order the top hitters.

Minimum Requirements of Qualifying Players

In order to determine the 100 greatest hitters of all time there must be a minimum playing time. I have chosen 4000 at bats as the minimum. One could choose 4000 plate appearances, which includes both at bats and walks and a few other minor events, so as not to penalize individuals who walked frequently. However, since the focus here is on the ability to hit, not the ability to get on base, a minimum of at bats is used. A player who plays full-time will get 400-600 at bats per year, so 4000 at bats represents 7 to 10 years of full-time play.

This minimum-4000 at bats-is close to those used by the three major contemporary baseball encyclopedias. The Baseball Encyclopedia uses the same definition. The Sports Encyclopedia: Baseball also requires a 10-year career. Total Baseball requires appearances in 1000 games. Thus, Total Baseball's top 100 list includes 5 players who have fewer than 4000 at bats, including Bob Fothergill, who had a mere 3265. The others are John McGraw, Mike Donlin, Dale Mitchell, and Taffy Wright.

It is particularly regrettable that John McGraw is left out. This outstanding, turn-of-the-century third baseman is in the Hall of Fame as the manager who skippered many successful New York Giant teams. He was a very good hitter and one of the best players of his day at drawing a walk. Had he not been so good at walking, he would easily have gotten the extra 76 at bats to qualify. He will be included when on base average is considered later in the book.

I also require that the player be retired or have at least 8000 at bats, if he is still active. (This additional requirement will be explained further in the chapter on late career declines.) Thus 10 active players (as of spring 1998) are included: Harold Baines, Wade Boggs, Joe Carter, Chili Davis, Gary Gaetti, Tony Gwynn, Rickey Henderson, Paul Molitor, Tim Raines, and Cal Ripken Jr.

Through 1995, 8259 players have played major league baseball, excluding the Negro Leagues. However, only 836 players-who will be called qualifying players-qualify for consideration, by having had at least 4000 at bats and being retired or having had at least 8000 at bats, if still active. Thus, the top 100 hitters are members of an elite group-comprising only 1.2% of all major league batters and 12% of qualifying players.

Unfortunately, records from the Negro Leagues are incomplete although they are now being compiled and included in baseball encyclopedias. As a result, they are not ranked in this book.

Batting Average Data Sources

There is no universally accepted list of top hitters. Besides the minimum eligibility criteria, reference books differ on how many hits and at bats each player actually had. Fortunately, this problem is largely limited to players from the 19th and early part of the 20th century. For example, Cap Anson, who played from 1876 to 1897 batted .329 4 (3000 / 9108) according to The Baseball Encyclopedia, Tenth Edition, 1996, .329 4 (2995 / 9101) according to Total Baseball, Fifth Edition, 1997, and .333 4 (3022 / 9067) according to The Sports Encyclopedia: Baseball, Seventeenth Edition, 1997.

Total Baseball received much of its information from sabermatricians (members of the Society for American Baseball Research-SABR), who carefully researched box scores for many of these discrepancies. Thorn and Palmer described some of the corrections that they made to "official" major league records in the "Errors and Controversies" section of the introduction of the Player Register for Total Baseball, 1989. Since I believe that it provides the most accurate numbers available, Total Baseball will be the principal data source for hits and at bats for players in this book.

The Traditional Top 100 Hitters List

Table I gives the traditional list of top 100 hitters. This is not my list of top 100 hitters. However, this list is useful as a starting point. A look at the traditional list shows that 48 hitters were in their prime during the 1920s and 1930s! On the other hand, only 8 players on the list were in their prime on or after 1960.

As the book develops, I will drop and add players to the list, changing it after each adjustment. The ranking of players who remain on the list will also change, sometimes rather dramatically. After all adjustments have been made, only 18 of the 50 hitters from 1920-39 will remain. On the other hand, the number of players whose prime was 1960 or later will jump from 8 to 39.

A Note About Statistical Methods

This book makes use of statistical methods. They are presented as simply as possible and it is my intention that readers with no prior statistical knowledge will still enjoy this book and understand the basic ideas.

The use of statistics is the way that science often judges whether or not an idea that somebody dreams up is supported by the data. When the evidence from data is overwhelming, no statistics are needed. It is only in close cases that statistical analysis is needed. Just as a microscope enhances the seeing power of the eye, so statistics allows us to obtain convincing evidence about some question with less data than is required to have overwhelming evidence.

I am a professional statistician in a cancer research center. The center seeks knowledge on how to prevent and best treat cancer. Since it is important to make discoveries in cancer as soon as possible, statisticians are part of the team. Why shouldn't we use the same tools scientists do so that we can make additional discoveries about baseball?

Statistical methods or concepts used in this book have been placed in boxes labeled Technical Notes. These may be skipped without interrupting the flow of the book. Use of the statistical method or concept will usually immediately follow the box. Readers who are not interested in these details can look at the interpretation that I provide. Once a statistical method is introduced, it may be used several times in the book. A list of the Technical Notes is given at the beginning of the book for easy reference.

Organization of the Book

The book is divided into two parts: Methods and Findings. Chapters 1-5 comprise the Methods section. In chapter 1, the basic characteristics of the players eligible for consideration in the top 100 are described. In chapters 2-5 the four adjustments to batting averages will be introduced and applied. Chapters 6-12 comprise the Findings section. In chapter 6 the fully adjusted top 100 hitters are identified. Later chapters deal with top hitters by position, top single-season batting averages, the best batting teams of all-time, ballpark effects for the 20th-century stadiums, top players for on base percentage, who should really be in the Hall of Fame, where today's hitters would place among the top 100 hitters, and a wrap-up. Readers who can't wait for the top 100 list can jump to chapter 6.


Excerpted from Baseball's All-Time Best Hitters by Michael J. Schell Copyright © 1999 by Princeton University Press. Excerpted by permission.
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.

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Table of Contents

List of Figures
List of Tables
Technical Notes
Introduction: In the Dugout 3
Pt. I The Method 13
1 On Deck with the Qualifying Players 15
2 First Base - Adjusting for Late Career Declines 29
3 Second Base - Adjusting for Hitting Feasts and Famines 45
4 Third Base - Adjusting for League Batting Talent 67
5 Home - Adjusting for Ballpark 103
Pt. II The Findings 133
6 The Adjusted Top 100 Hitters 135
7 Top Hitters by Position 157
8 Best Single-Season Batting Averages 173
9 The Ballparks 185
10 On Base Percentage 213
11 The Hall of Fame 227
12 Where Would the Current Stars Rank? 241
Afterword: Post-Game Wrap-Up 249
App. I: Abbreviations and Glossary 253
App. II Right- vs. Left-Handed Hitting 257
App. III League Batting Averages 259
App. IV Ballpark Effect Batting Averages 269
App. V League Base on Balls Averages 275
References 283
Index 285
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  • Anonymous

    Posted November 24, 2002

    Baseball's All-Time Best Hitters : How Statistics Can Level the Playing Field

    This was a great book. It addressed stars of the past & contemporary players. As written, as based on the author's formulas, it appeared that Ted Williams is the best hitter of all time. However, it was written before the explosion of Mark McGuire, Barry Bonds, Sammy Sosa and so many others lately & commonly achieving the 50 HR and such high slugging & on base plateaus.

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  • Anonymous

    Posted December 15, 2008

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